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Interpolation, the Rudimentary Geometry of Spaces of Lipschitz Functions, and Geometric Complexity
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نویسنده
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Weinberger Shmuel
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منبع
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foundations of computational mathematics - 2019 - دوره : 19 - شماره : 5 - صفحه:991 -1011
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چکیده
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We consider seriously the analogy between interpolation of nonlinear functions and manifold learning from samples, and examine the results of transferring ideas from each of these domains to the other. illustrative examples are given in approximation theory, variational calculus (closed geodesics), and quantitative cobordism theory.
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کلیدواژه
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Interpolation ,Function space ,Persistent homology ,Homotopy ,Quantitative cobordism ,Embedding ,Primary 68U05 ,57R75 ,41A10 ,Secondary 55Q05 ,68T10
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آدرس
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University of Chicago, Department of Mathematics, USA
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Authors
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